Pith Number

pith:2JHP4BR4

pith:2014:2JHP4BR4CQF6B2SEMFZPLC5HWB

not attested not anchored not stored refs pending

Multivariate circular Jacobi polynomials

Genki Shibukawa

arxiv:1404.7252 v2 · 2014-04-29 · math.CA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JHP4BR4CQF6B2SEMFZPLC5HWB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:51:07.929559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24efe063c140be0ea446172f58ba7b04b10e7b7ac0a7324918cbb684a6293f5

Aliases

arxiv: 1404.7252 · arxiv_version: 1404.7252v2 · doi: 10.48550/arxiv.1404.7252 · pith_short_12: 2JHP4BR4CQF6 · pith_short_16: 2JHP4BR4CQF6B2SE · pith_short_8: 2JHP4BR4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2JHP4BR4CQF6B2SEMFZPLC5HWB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d24efe063c140be0ea446172f58ba7b04b10e7b7ac0a7324918cbb684a6293f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a4255a41b198f609b4d5833b6098bcd920fbb872dd21238642ddbad101838c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-29T06:40:24Z",
    "title_canon_sha256": "5ac498fee391f89814064968b8be14bd1acf564c6f806349af9d791824c2b3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7252",
    "kind": "arxiv",
    "version": 2
  }
}